Q4. - Algebra 1

Question

Graph each equation.

$x+2y=-1$

Step-by-Step Solution

Answer

The graph of the equation $x+2y=-1$ is:

Step 1. Find the x and y -intercepts of the equation x + 2 y = − 1 .

To find the x-intercept, substitute 0 for y and find the value of x.

$$\begin{gathered} x+2y=-1 \\ x+2\left(0\right)=-1 \\ x+0=-1 \\ x=-1 \end{gathered}$$ 

Therefore, the x-intercept is $-1$.

As, the x-intercept is $-1$ that means the graph of $x+2y=-1$ will intersect the x-axis at $\left(-1,0\right)$.

To find the y-intercept, substitute 0 for x and find the value of y.

$$\begin{gathered} x+2y=-1 \\ 0+2y=-1 \\ 2y=-1 \\ y=-\frac{1}{2} \end{gathered}$$ 

Therefore, the y-intercept is $\frac{-1}{2}$.

As, the y-intercept is $\frac{-1}{2}$ that means the graph of $x+2y=-1$ will intersect the y-axis at width="59" style="max-width: none; vertical-align: -15px;" $\left(0,\frac{-1}{2}\right)$.

Step 2. Draw the graph of the equation x + 2 y = − 1 .

Draw the graph of the equation $x+2y=-1$ by using the information that the graph of the equation $x+2y=-1$ is a line passing through the points $\left(-1,0\right)$ and $\left(0,\frac{-1}{2}\right)$.

 

Therefore, the graph of the equation $x+2y=-1$ is: